Editing Semiring (section)

=== Notation ===
The symbol <math>\cdot</math> is usually omitted from the notation; that is, <math>a \cdot b</math> is just written <math>ab.</math>

Similarly, an [[order of operations]] is conventional, in which <math>\cdot</math> is applied before <math>+</math>. That is, <math>a + b\cdot c</math> denotes <math>a + (b\cdot c)</math>.

For the purpose of disambiguation, one may write <math>0_R</math> or <math>1_R</math> to emphasize which structure the units at hand belong to.

If <math>x\in R</math> is an element of a semiring and <math>n\in{\mathbb N}</math>, then <math>n</math>-times repeated multiplication of <math>x</math> with itself is denoted <math>x^n</math>, and one similarly writes <math>x\,n:=x+x+\cdots+x</math> for the <math>n</math>-times repeated addition.